Finding the Third Proportional to 414,166.50 and 905,877

Step by Step Solution

1. Step 1: Write the proportion equation
   414,166.50 : 905,877 = 905,877 : x
2. Step 2: Convert to fraction form
   414,166.50/905,877 = 905,877/x
3. Step 3: Cross multiply
   414,166.50x = 905,877 × 905,877
4. Step 4: Simplify right side
   414,166.50x = 820,613,139,129
5. Step 5: Solve for x
   x = 820,613,139,129/414,166.50
6. Step 6: Final answer
   x = 1,981,360.49